LCM of 633, 669, 495, 972, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 669, 495, 972, 363 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 633, 669, 495, 972, 363. So, keep reading to learn more.
Given numbers are 633,669,495,972,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,669,495,972,363 is 27669987180.
Find LCM of 633,669,495,972,363 with Prime Factorization
| 3 | 633, 669, 495, 972, 363 |
| 3 | 211, 223, 165, 324, 121 |
| 11 | 211, 223, 55, 108, 121 |
| 211, 223, 5, 108, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 211 x 223 x 5 x 108 x 11 = 27669987180
Therefore, the lowest common multiple of 633,669,495,972,363 is 27669987180.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
633 x 669 x 495 x 972 x 363 = 73961875732140
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
633 : 1, 3, 211, 633
669 : 1, 3, 223, 669
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
363 : 1, 3, 11, 33, 121, 363
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,669,495,972,363, is 3.
Now, the common factors can be found like this.
633:3x 211
669:3x 223
495:3x 3x 5x 11
972:2x 2x 3x 3x 3x 3x 3
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 11 = 891
Therefore, the value for common factors is 891.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 73961875732140/(3x891)
LCM = 73961875732140/2673
LCM = 27669987180
Thus, we can understand that the LCM of 633,669,495,972,363 is 27669987180.
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FAQs on LCM of 633, 669, 495, 972, 363
1. What is the LCM of 633, 669, 495, 972, 363?
Answer: LCM of 633, 669, 495, 972, 363 is 27669987180.
2. How to calculate the LCM of 633, 669, 495, 972, 363?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 633, 669, 495, 972, 363.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.